Account verification accounts 5,000 accounts 3,000 accounts Correspondence letters 1,000 letters 1,400 letters How much of the account billing cost will be assigned to Department B

Answers

Answer 1

Answer:

$24,750

Explanation:

The computation of the account billing cost assigned to department B is shown below;

Computation of the activity rate of account billing cost pool

Activity rate = Account billing cost ÷ Expected account billing lines

= $220,000 ÷ 4,000,000

= $0.055 per line

Now Calculation for account billing cost assigned to department B is  

Cost assigned = Activity rate × Activity of Department B

= $0.055 × 450,000

= $24,750

Account Verification Accounts 5,000 Accounts 3,000 Accounts Correspondence Letters 1,000 Letters 1,400

Related Questions

The law of increasing opportunity costs Multiple Choice applies to land-intensive commodities but not to labor-intensive or capital-intensive commodities. results in straight-line production possibilities curves rather than curves that are bowed outward from the origin. may limit the extent to which a nation specializes in producing a particular product. refutes the principle of comparative advantage.

Answers

Answer:

may limit the extent to which a nation specializes in producing of a particular product.

Explanation:

Opportunity cost also known as the alternative forgone, can be defined as the value, profit or benefits given up by an individual or organization in order to choose or acquire something deemed significant at the time.

Simply stated, it is the cost of not enjoying the benefits, profits or value associated with the alternative forgone or best alternative choice available.

For instance, if you decide to invest resources such as money in a food business (restaurant), your opportunity cost would be the profits you could have earned if you had invested the same amount of resources in a salon business or any other business as the case may be.

The law of increasing opportunity costs can be defined as a principle in business which states that, if an organization or business firm continually raise (increase) its level of production, its opportunity cost also increases (rises).

Consequently, this may limit the extent to which a nation or country in any part of the world specializes in producing of a particular product so as to reduce or lower its opportunity cost.

When more than one security is sold for a single price and the total selling price is not equal to the sum of the market prices, the cash received is allocated between the securities based on:

Answers

Answer:

Relative market values

Explanation:

Secondary market can be defined as a market where various investors sell and buy securities from other investors.

Some examples of secondary market around the world are New York Stock Exchange (NYSE), NASDAQ, London Stock Exchange (LSE) and National Stock Exchange (NSE).

On the other hand, the primary market refers to the market where these securities that are being sold are issued or created.

Price can be defined as the amount of money that is required to be paid by a buyer (customer) to a seller (producer) in order to acquire goods and services.

In sales and marketing, pricing of products, securities or stocks is considered to be an essential element of a business firm's marketing mix because place, promotion and product largely depends on it.

Generally, when more than one security is sold for a single price and the total selling price is not equal to the sum of the market prices, the cash received is allocated between the securities based on relative market values.

Please answer the question posted in the image

Answers

Answer:

its c

Explanation:

A company purchased $3,300 worth of merchandise. Transportation costs were an additional $290. The company returned $230 worth of merchandise and then paid the invoice within the 3% cash discount period. The total cost of this merchandise is:

Answers

Answer:

the total cost of the merchandise is $3,267.90

Explanation:

The computation of the  total cost of this merchandise is shown below;

Purchase $3,300

Less Purchase return -$230

Purchase less return $3,070

Less: discount at 3% on $3,070 -$92.10

Net purchase cost $2,977.90

Add: transportation $290

Total cost $3,267.90

hence, the total cost of the merchandise is $3,267.90

Growing, Inc. is a firm that is experiencing rapid growth. The firm yesterday paid a dividend of $3.40. You believe that dividends will grow at a rate of 19.0% per year for two years, and then at a rate of 7.0% per year thereafter. You expect the stock will sell for $17.17 in two years. You expect an annual rate of return of 22.0% on this investment. If you plan to hold the stock indefinitely, what is the most you would pay for the stock now

Answers

Answer:

$18.09

Explanation:

The computation of the current stock price is shown below:

Particulars   Dividend or amount   PVIF at 22%       Present value

D1                  $4.05                        0.820       $3.32          

($3.40 × 1.19)

D2                 $4.81                         0.672         $3.23

($4.05 × 1.19)

Stock price in 2 years $17.17         0.672         $11.54

Current stock price                                            $18.09

For most​ firms, the cost of capital decreases to a low point as the firm​ ________ debt financing. At some point beyond this optimal​ level, the cost of capital increases as the amount of debt​ ________.

Answers

Answer:

increases; decreases

Explanation:

In accounting, cost of capital can be regarded as cost of a company's funds which are "debt and equity" . It could also be from an investor's point of view "the required rate of return required on existing securities" of company's portfolio . cost of capital is utilized in

evaluation of new projects of a company. Debt financing which is regarded as one that take place when there is a raise of money by a company through the selling of debt instruments to investors. Debt financing takes place when fixed income products like bonds is sold by a firm. It should be noted that For most​ firms, the cost of capital decreases to a low point as the firm​ increases debt financing. At some point beyond this optimal​ level, the cost of capital increases as the amount of debt​ decreases

Babble, Inc., buys 405 blank cassette tapes per month for use in producing foreign language courseware. The ordering cost is ​$15.00. Holding cost is ​$0.25 per cassette per year. a. How many tapes should Babble order at a​ time?

Answers

Answer:

The appropriate solution is "764".

Explanation:

Given:

Demand per month,

D = 405

or,

  = [tex]405\times 12[/tex]

  = [tex]4860[/tex]

Ordering cost,

S = $15

Holding cost,

H = $0.25

As we know,

⇒  [tex]EOQ=\sqrt{\frac{2DS}{H} }[/tex]

⇒            [tex]=\sqrt{\frac{2\times 4860\times 15}{0.25} }[/tex]

⇒            [tex]=\sqrt{\frac{145800}{0.25} }[/tex]

⇒            [tex]=\sqrt{583200}[/tex]

⇒            [tex]=763.67[/tex]

or,

⇒            [tex]=764[/tex]

Each sneaker requires 2 hours of direct labor time. Direct labor wages average $15 per hour. Monthly overhead averages $10 per direct labor hour plus fixed overhead of $4,500. What is the direct labor cost budgeted for September

Answers

Answer:

the direct labor cost budgeted is $1,500,000

Explanation:

The computation of the direct labor cost budgeted is given below:

The Direct labor budget for September is

= September production × required no of hours × direct labor wage per hour

= 50,000 × 2hour × $15

= $1,500,000

hence, the direct labor cost budgeted is $1,500,000

please share me answer​

Answers

Answer:

Explanation:

debit Unearned Revenue   200

credit        Revenues                   200

To realize one month of insurance premium revenue

Assume that you purchase a 6-year, 8% savings certificate for $1,000. If interest is compounded annually, what will be the value of the certificate when it matures?

Answers

Answer:

$1,586.87

Explanation:

Rate (I/Y) = 8.00%

Period (N) = 6

Amount (PV) = 1000

PMT = 80

Annual compounding type

Using the MSExcel function to solve for FV.

Future value = FV(Rate, Nper, Pmt, -Pv, 0)

Future value = FV(8%, 6, 80, 1000, 0)

Future value = $1586.87432294

Future value = $1,586.87

So, the value of the certificate when it matures will be $1,586.87.

Supposed you have had 10 apples. You gave 4 apples to your friend for Christmas. What portion of the initial amount did you give away? (use similar formatting to the dollar amount, strictly decimals, no other signs or characters)

Answers

Answer:

The portion of the initial amount that was given away is:

= 0.40

Explanation:

a) Data and Calculations:

Number of apples available = 10

Number of those apples given to a friend for Christmas = 4

The portion given away = 4/10 = 0.4

This represents 40% of the whole.

b) The portion given away to the friend for Christmas is a proportion of the whole.  In this case, it represents just 40% of the 10 apples.  This means that only 60% or 0.60 of the original apples are still available or on hand because 40% had been given away.

Even in these times of social media and digital content some of the old ways of promotion can still be effective. Identify two strengths and two weaknesses of each major advertising medium: newspapers, television, direct mail, radio, magazines, and outdoor display.

Answers

Answer:

Newspaper Advertising

STRENGHTS:

I. Wide reach/coverages

II. Cheap and easily affordable

WEAKNESS:

I. Can easily be destroyed

II. Iliterates can not be able to read its contents.

TELEVISION

STRENGHTS

I. Wider reach/coverage

II. Very attractive and understandable.

WEAKNESSES

I. Very expensive to maintain

II. May not be available to the poor.

DIRECT MAIL

STRENGHTS

I. Focused audience

II. High response rate

WEAKNESSES

I. Too expensive to maintain

II. May not have a wide reach.

RADIO

STRENGHTS

I. Wider reach/coverage

II. Easily accessible and affordable

WEAKNESSES

I. Expensive to maintain especially to the advertising organisation

II. Signal/connection issues.

MAGAZINE

STRENGHTS

I. attractive with colorful eye-catching pictures

II. Can easily understood by users.

WEAKNESSES

I. Magazines are usually very expensive than newspapers

II. Can easily be destroyed.

OUTDOOR DISPLAY

STRENGHTS

I. Very attractive with eye-catching pictures

II. Easily accessible with wider reach.

WEAKNESSES

I. Very expensive to maintain

II. Not focused/ not targeted at audience.

III. Waste coverages

Explanation:

Advertisement agencies are utilising several means of communication and marketing to their customers as described above those means has been fully utilized.

Newspaper Advertising is very affordable and can be easily accessible to the local population while it is easier to destroy or misplaced and also it can not be utilised by illustrates who can not read.

Television advertising is one of the most attractive as it contains pictures that can be attractive to its audience and also it has a wide coverage, it also has certain weaknesses which includes the cost of maintaining etc.

Outdoor advertising is also very attractive to the audience and it has a wide coverage as everyone making use of road can be easily reached. Some of the weaknesses of outdoor advertising includes the cost of sustaining it and also waste coverages as many audience may not need or desire the product being displayed.

"Standard Cost Data per 1 Unit Quantity Price Direct Material 3 lbs $2.00/lb Direct Labor 2 hrs $4.00/hr Actual Data: Units produced 20 Material purchase 100 lbs at $2.25 per lb Material usage 90 lbs Direct Labor 30 hrs; total cost $123 Compute all standard costs and variances for DM & DL. Show all computations."

Answers

Answer and Explanation:

The computation is shown below:

The Standard cost for 20 units is  

Material (20 units × 3lbs × $2lb) $120

Direct labor (20 units  × 2lbs × $4) $160

Total standard cost $280

Now  

Direct material price variance = (Actual price -Standard price) × Actual quantity

= (2.25-2.00) × 90

=22.5 Unfavorable

Direct material quantity variance = (Actual quantity- Standard quantity) × Standard price  

=(90-20x3) × 2

= $60 unfavorable  

Direct material cost variance =Direct material price variance + Direct material quantity variance

=22.5 UF+$60UF

=82.50UF

Direct labor Rate variance = (Actual rate -Standard rate)  × actual hours  

= (4.10-4.00) × 30 hrs

= $3 Unfavorable  

Actual rate = $123 ÷ 30 hrs

= $4.10

Direct labor Quantity variance = (Actual hours -Standard hours ) × Standard rate

=(30-20 × 2) × 4

=$40 favorable  

Direct labor cost variance =Direct labor Rate variance+Direct labor Quantity variance

=$3 unfavorable  + $40 favorable  

=$37 favorable

Crane Company makes and sells umbrellas. The company is in the process of preparing its Selling and Administrative Expense Budget for the last half of the year. The following budget data are available: Variable Cost Per Unit Sold Monthly Fixed Cost Sales commissions $0.60 $ 4000 Shipping 1.20 Advertising 0.30 Executive salaries 30000 Depreciation on office equipment 7000 Other 0.35 18000 Expenses are paid in the month incurred. If the company has budgeted to sell 6000 umbrellas in October, how much is the total budgeted variable selling and administrative expenses for October?

Answers

Answer:

$14,700

Explanation:

Calculation to determine how much is the total budgeted variable selling and administrative expenses for October

Using this formula

Total budget variable selling and administrative =(Sales commissions+Shipping+Advertising+Other)*Budgeted umbrellas

Let plug in the formula

Total budget variable selling and administrative = ($0.60 + 1.20 + 0.30 + 0.35)*6,000

Total budget variable selling and administrative= $2.45*6,000

Total budget variable selling and administrative= $14,700

Therefore the total budgeted variable selling and administrative expenses for October is $14,700

Kahn Performance Nutrition produces a protein shake that contains whey protein as one of its ingredients. The whey protein (materials) standards for each batch of protein shake produced are 12 pounds of whey protein at a standard cost of $3 per pound. During July, Kahn Performance Nutrition purchased and used 54,000 pounds of whey protein at a total of $170,000 to make a total of 4,300 batches of protein shake. What is the materials quantity variance for whey protein in July?

Answers

Answer:

The correct answer is "-$7200 (Unfavorable)".

Explanation:

Given:

Actual quantity,

= 54000 pounds

Standard price,

= $3 per pound

Standard quantity,

= [tex]4300\times 12[/tex]

= [tex]51600 \ pounds[/tex]

As we know,

⇒ [tex]Material \ quantity \ variance=(Standard \ quantity-Actual \ quantity)\times Standard \ price[/tex]By substituting the values, we get

⇒                                          [tex]=(51600-54000)\times 3[/tex]

⇒                                          [tex]=(-2400)\times 3[/tex]

⇒                                          [tex]=-7200 \ (Unfavorable)[/tex]

The technical and socio-cultural dimensions of project management are two sides of the same coin. Explain

Answers

Indeed, the technical and socio-cultural dimensions of project management are two sides of the same coin. This is so because the project management is in charge of administering and managing the human and material resources of a specific project.

Thus, it must organize not only the resources but also the members of the company who are in charge of exploiting those resources and maximizing results.

Therefore, just as a technical face is required to organize resources, a socio-cultural and human approach is required that allows a better functioning of the human resources of the company.

Learn more about project management in https://brainly.com/question/22590420

The December 31, 2016 balance sheet of Jensen Company showed Equipment of $76,000 and Accumulated Depreciation of $18,000. On January 1, 2017, the company decided that the equipment hasa remaining useful life of 6 years with a $4,000 salvage value. Compute the depreciable cost of the equipment. Depreciable cost Compute the revised annual depreciation.
Revised annual depreciations

Answers

Answer:

A. $54,000

B. $9,000

Explanation:

A. Computation for the depreciable cost of the equipment

Book value, 1/1/17 $58,000

($76,000 – $18,000)

Less salvage value $4,000

Depreciable cost $54,000

($58,000-$4,000)

Therefore the depreciable cost of the equipment is $54,000

B. Computation for the revised annual depreciation

Revised annual depreciation = $54,000÷6 years

Revised annual depreciation = $9,000

Therefore the revised annual depreciation is $9,000

____________ is the process of identifying and assessing the volume and sentiment of what is being said about a company, individual, product, or brand. Digital marketing Visual analytics

Answers

Answer:

d) Social media monitoring

Explanation:

Social media monitoring includes the tracking of brand i.e. online and the responses also. You should check and keep your brand on the top of the message prior it become viral for the reason i.e. not right. Also it would help in maintaining the positive brand between the consumers and influencers

So, as per the given situation, it is a social media monitoring

sykes company has sales revenue of $585,700. Cost of goods sold before adjustment is $335,900. The company's actual manufacturing overhead is $92,000, while allocated manufacturing overhead is $104,400. What is the actual gross profit

Answers

Answer:

Actual gross profit $262,200

Explanation:

The computation of the actual gross profit is as follows;

Allocated manufacturing overhead

$104,400

Actual manufacturing overhead

$92,000

Over applied manufacturing overhead

$12,400

Unadjusted cost of goods sold

$335,900

Less:

Over applied manufacturing overhead

($12,400)

Adjusted cost of goods sold

$323,500

Sales revenue

$585,700

Less:

Adjusted cost of goods sold

($323,500)

Actual gross profit

$262,200

On July 1, 2019, Stacy Company signed a $140,000, one-year, 6 percent note payable. The principal and interest will be paid on June 30, 2020. How much interest expense should be reported on the income statement for the year ended December 31, 2019

Answers

Answer:

Stacy Company

The amount of interest expense that should be reported on the income statement for the year ended December 31, 2019 is:

= $4,200.

Explanation:

a) Data and Calculations:

6% Notes Payable = $140,000

Date of issuance = July 1, 2019

Interest rate per annum = 6%

Total interest expense for the one year = $8,400 ($140,000 * 6%)

Interest expense for the half-year = $4,200 ($140,000 * 6% * 1/2)

b) Therefore, the cash payment on June 30, 2020 will amount to $148,400 ($140,000 + $8,400)

Vista Company installed a standard cost system on January 1. Selected transactions for the month of January are as follows.
1. Purchased 18,400 units of raw materials on account at a cost of $3.90 per unit. Standard cost was $3.80 per unit.
2. Issued 18,400 units of raw materials for jobs that required 18,100 standard units of raw materials.
3. Incurred 16,000 actual hours of direct labor at an actual rate of $4.10 per hour. The standard rate is $4.60 per hour. (Credit Factory Wages Payable).
4. Performed 16,000 hours of direct labor on jobs when standard hours were 16,190.
5. Applied overhead to jobs at the rate of 100% of direct labor cost for standard hours allowed.
Journalize the January transactions.

Answers

Answer:

1. Dr Raw Materials Inventory $69,920

Dr Materials Price Variance $1,840

Cr Accounts Payable $71,760

2. Dr Work in Process Inventory $68,780

Dr Materials Quantity Variance $1,140

Cr Raw Materials Inventory $69,920

3. Dr Factory Labor $73,600

Cr Labor Price Variance $8,000

Cr Factory Wages Payable $65,600

4. Dr Work in Process Inventory $74,474

Cr Labor Quantity Variance $874

Cr Factory Labor $73,600

5. Dr Work in Process Inventory $143,254

Cr Manufacturing Overhead $143,254

Explanation:

Preparation of the anuary transactions

1. Dr Raw Materials Inventory $69,920

(18,400*$3.80)

Dr Materials Price Variance $1,840 [18,400 x ($3.90 - $3.80)]

Cr Accounts Payable $71,760

($69,920+$1,840)

2. Dr Work in Process Inventory $68,780

(18,100*$3.80)

Dr Materials Quantity Variance $1,140 [$3.80 x (18,400 - 18,100)]

Cr Raw Materials Inventory $69,920

(18,400*$3.80)

3. Dr Factory Labor $73,600

($16,000*$4.60)

Cr Labor Price Variance $8,000

[16,000 x ($4.10 - $4.60)]

Cr Factory Wages Payable $65,600

(16,000*$4.10)

4. Dr Work in Process Inventory $74,474

(16,190*$4.60)

Cr Labor Quantity Variance $874 [$4.60 x (16,000 - 16,190)]

Cr Factory Labor $73,600

($8,000+$65,600)

5. Dr Work in Process Inventory $143,254

($68,780+$74,474)

Cr Manufacturing Overhead $143,254

The price of strawberries decreases from $4.10 to $2.50 per pound. When this happens, the amount of strawberries sold increases from 550 pounds to 600 pounds. What is the value of the gain in consumer surplus that occurred

Answers

Answer:

$80

Explanation:

Given that the value of the gain in consumer surplus is the value emanating from the purchase made at price less than the price the consumer is willing to pay. The value of consumer surplus rises as the price of a good falls and falls as the price of a good rises.

Hence, in this case, the price of strawberries decreases from $4.10 to $2.50 per pound. We have a value surplus of $1.6 per pound.

However, since the amount of strawberries sold increases from 550 pounds to 600 pounds we have a consumer surplus of 50 pounds.

Therefore, the total value of the gain in consumer surplus that occurred is $1.6 × 50 = $80.

Hence, the correct answer is $80

Describe the role of separation and termination in relation to broader human resources and business objectives

Answers

Answer:

Separation and or termination in HR relates to the cessation of the relationship between employer and employee.

Separation and or termination of the contract may occur in the following ways:

1. Constructive Discharge

2. Firing

3. Layoff

4. Termination by Mutual Agreement

5. Termination with Prejudice

6. Termination without Prejudice

7. Involuntary Termination of employment contract

8. Voluntary Termination of employment contract

9. Wrongful Termination of employment contract

10. Cessation of Temporary Contracts

Explanation:

Regardless of the type of separation or termination which occurs, the business owner and the the HR manager must realize that the HR funnel must never run short of hands with which the organization will attain its goals/objectives.

Recognizing the times lines for contracts that are terminal in nature, anticipating and preparing for sudden separation and planning adequately for these occurrences using HR Planning enables the business to continue to thrive regardless of its rate of turnover.

Cheers

Coronado Industries has the following costs when producing 100000 units: Variable costs $600000 Fixed costs 900000 An outside supplier has offered to make the item at $4.50 a unit. If the decision is made to purchase the item outside, current production facilities could be leased to another company for $178000. The net increase (decrease) in the net income of accepting the supplier’s offer is

Answers

Answer:

Particulars                                                Amount

Saving in variable costs                          $600,000

Add: Income from lease                          $178,000

Less: Purchase price (100000*$4.50)   ($450,000)

Increase (Decrease) in net income       $328,000

Thus, net income would increase by $628,000.

What will appear under a misspelled word in Word Online?

An arrow
A zigzag line
An exclamation point
A bold line

Answers

Answer:

A red Zigzag line

Explanation:

I think

A zigzag line

Explanation:

The Acme Company is a perfect competitor in its input markets and its output market. Its average product of labor is at its maximum and equals 30. The marginal revenue product of labor is $300. The price of its output is $

Answers

Answer:

$10

Explanation:

The computation of the price of the output is given below;

As per the given data

At the time when the average product is maximum, so the average product is equivalent to the marginal product

Therefore, AP = MP= 30

MRP = 300

Now

MRP = MP × MR

300= 30 × MR

MR= 300 ÷ 30

= 10

So,

 P= MR= 10

anyone here earn money from brainly and how
please guide me

Answers

Hi, you've asked an incomplete question. However, I assumed you want to know what Brainly platformed.

Explanation:

It is interesting to note that the Brainly platform is designed specifically for students to learn from their peers mostly free of charge, and it allows them to find answers to homework questions.

assume that a compan operates a fleet of limousines if a limo is driven 80,000 miles during a year its average is 25 cents per mile. driven only 60,000 miles operating cost is 30 cents per mile high low method, what is the estimated fixed cost per year

Answers

Answer:

The answer is "$12000".

Explanation:

Calculating the total cost:

when 80,000 miles[tex]=(80,000\times 0.25)=\$20,000[/tex]

when 60,000 miles[tex]=(60,000\times 0.3)=\$18000[/tex]

[tex]\text{Calculating the per mile variable cost} =\frac{[\text{Total cost of highest level-Total cost of lowest level}]}{(Highest \ level-Lowest \ level)}[/tex]

                                                           [tex]=\frac{(20,000-18000)}{(80,000-60,000)}\\\\=\frac{(2,000)}{(20,000)}\\\\=\frac{(1,000)}{(10,000)}\\\\=\frac{(1)}{(10)}\\\\=$0.1 / mile[/tex]

So, the total fixed cost:

[tex]=20,000-(80,000\times 0.1)\\\\=20,000-8,000\\\\=\$12,000[/tex]

What is meant by the phrase nonverbal communication and what form of nonverbal communication do you think is misunderstood the most by people? in a 200 word​

Answers

Answer:

See the explanation below.

Explanation:

Nonverbal communication involves the transfer of messages or signals utilizing nonverbal platforms such as eye contact, facial expressions, gestures, posture, and body language. It entails the utilization of social cues, kinesics, distance, physical environments/appearance, voice, and touch, among other things.

I think that gesture is the most misinterpreted form of nonverbal communication. Gesture refers to the movement of a body component, especially the hand or the head, to convey a message or meaning.

Gesture is the most misinterpreted form of nonverbal communication due to the fact that the meaning of particular gestures varies greatly throughout cultures. While the hand-held “OK” sign, for example, normally sends a positive message in English-speaking countries, it is deemed offensive in Germany, Russia, and Brazil. As a result, it's critical to be cautious about how you utilize gestures in order to avoid misinterpretation.

Customers arrive at a bank teller machine at the rate one every three minutes. Each customer spends an average of two minutes at the teller machine. The arrival rate and the service rate are approximated by Poisson and negative exponential distributions respectively.
Determine the following:
a – utilization of the teller machine
b – average number of customers in line
c – average number of customers in the system
d – average time customers spend in line
e – average time customers spend in the system
f – probability of three customers in the system
g – probability of two or more customers in the system.

Answers

Answer:

Arrival rate

1 every 3 minutes

1 minute = 1/3 = 0.33

60 minutes = 0.33*60 = 19.8 = 20 per hour

λ = 20 per hour

Service Rate

1 every 2 minutes

1 minutes = 1/2 = 0.5

60 minutes = 0.5*60 = 30 per hour

µ = 30 per hour

a. Utilization of Teller Machine

P = λ / µ

P = 20/30

P = 66.67%

b. Average number of customers in line

Lq = pL = (λ/µ) (λ/µ- λ)

= (20 / 30) (20 / 30 - 20)

= 20/30 * 20 / 10

= 1.33 customers

c. Average number of customers in the system

L = (λ/µ- λ)

= 20 / 30 - 20

= 20 / 10

= 2 customers

d. Average time customer spends in line

Wq = λ/[µ*(µ- λ)]

= 20 / [30 * (30-20)]

= 20 / 30 * 10

= 0.06667 hours or 4 minutes

e. Average time customers spend in the system

W = 1/(µ- λ)

= 1 / 30 - 20

= 1/10

= 0.10 hours or 6 minutes

f. Probability that there are 3 customers in the system

Pn = (1-p)*p^n

= (1 - 20/30) * (20/30)^3

= 0.3333 * 0.296296

= 0.09876

g. Probability that there are two or more customers in the system

= 1 - P(0) - P(1)

= 1 - (1 - 20/30) * (20/30)^0 - (1 - 20/30) * (20/30)^1

= 1 - 1/3 - 2/9

= 4/9

= 0.4444

Other Questions
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